2001/04/11 by Ashvin Vishwanath · 14 citations
Physics and Astronomy · #Berry connection and curvature #Brillouin zone #Condensed matter physics #Dirac (video compression format) #Hamiltonian (control theory) #Magnetic field #Physics #Physics of Superconductivity and Magnetism #Quantization (signal processing) #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quasiparticle #Superconductivity #Topological Materials and Phenomena #Vortex #Vortex state #cond-mat.mes-hall #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.66.064504
published in Physical review. B, Condensed matter 66(6) (American Physical Society) · (23 pages in all [7 pages in appendices], 9 figures)
arxiv created 2001/04/11 · openalex publication_date 2002/08/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We consider the vortex state of d-wave superconductors in the clean limit. Within the linearized approximation the quasiparticle bands obtained are found to posess Dirac cone dispersions (band touchings) at special points in the Brillouin zone. They are protected by a symmetry of the linearized Hamiltonian that we call TDirac. Moreover, for vortex lattices that possess inversion symmetry, it is shown that there is always a Dirac cone centered at zero energy within the linearized theory. On going beyond the linearized approximation and including the effect of the smaller curvature terms (that break TDirac), the Dirac cone dispersions are found to acquire small gaps (\ensuremath≈0.5 KT^\ensuremath-1 in YBCO) that scale linearly with the applied magnetic field. When the chemical potential for quasiparticles lies within the gap, quantization of the thermal-Hall conductivity is expected at low temperatures, i.e., \ensuremathκxy/T=n(\ensuremathπ2kB2/3h) with the integer n taking on values n=\ifmmode±\else\textpm\fi2 and 0. This quantization could be seen in low-temperature thermal transport measurements of clean d-wave superconductors with good vortex lattices.